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Angle of a semicircle on a ramp

  1. Nov 20, 2015 #1
    1. The problem statement, all variables and given/known data
    The semicylinder of mass m and radius r lies on the rough inclined plane for which ϕ = 10∘ and the coefficient of static friction is μs = 0.3. Determine if the semicylinder slides down the plane, and if not, find the angle of tip θ of its base AB
    2. Relevant equations
    f=uN

    3. The attempt at a solution
    I think this requires some weird trigonemetry... I already calculated that the cylinder does not slide down but I cannot calculate the angle of theta
    upload_2015-11-20_8-51-14.png
     
  2. jcsd
  3. Nov 20, 2015 #2

    mfb

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    What did you try so far?
    What do you know about equilibrium positions?
     
  4. Nov 20, 2015 #3

    haruspex

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    Your drawing of the forces could be a little more accurate. Where will the line of action of the normal force intersect AB?
     
  5. Nov 22, 2015 #4
    I've tried a few different triangles, but I cant figure it out. I know nothing about equilibrium positions.
     
  6. Nov 22, 2015 #5
    How can I calculate that?
     
  7. Nov 22, 2015 #6
    Never mind, I figured it out. In case your curious you use the law of sines...
     
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